What is Number Base Conversion?
Number base conversion is the process of expressing a value using a different radix (Base). While we use Decimal (Base 10) in daily life, computers primarily use Binary (Base 2) consisting of "0" and "1", or Hexadecimal (Base 16) for better readability. This tool converts your input into all other bases in real-time.
Characteristics and Uses of Each Base
- Binary (Base 2): The fundamental language of computers. Manages ON/OFF states.
- Octal (Base 8): Represents 3 binary digits with 1 digit. Often used in file permission settings.
- Decimal (Base 10): The standard system used by humans globally.
- Hexadecimal (Base 16): Represents 4 binary digits with 1 digit. Ideal for color codes and memory addresses.
Calculation Logic
Converting from Base-n to Decimal
Multiply each digit by the "weight" (the base raised to the power of the position) and sum them up.
Example (Binary 1011): (1 × 2³) + (0 × 2²) + (1 × 2¹) + (1 × 2⁰) = 8 + 0 + 2 + 1 = 11Converting from Decimal to Base-n
Repeatedly divide the decimal number by the target base and list the "remainders" in reverse order.
Frequently Asked Questions (FAQ)
A. They represent A=10, B=11, C=12, D=13, E=14, and F=15. Letters are used to represent values of 10 or greater with a single digit.
A. It can calculate accurately within the range of JavaScript's safe integer limit (Number.MAX_SAFE_INTEGER). For extremely large values, precision may decrease.
A. No, all tools on our site are completely free. We are supported by advertisements, so there are no hidden fees.
A. No, all calculations are performed locally in your browser. No data is sent to or stored on our servers, ensuring your privacy.